a floral design on a floor is made up of 8 tiles which are triangular, the sides of triangle being 26 cm, 28 cm and 30 cm. Find the cost of polishing the tiles at the rate of 1.50 rupees per cm²
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Solution:
Semi-perimeter of 1 triangular tile
=s
=(9+28+35)/2=72/2=36 cm
Using Heron's formula, Area of 1 triangular tile
=√{s(s−9)(s−28)(s−35)}
=√{36(36−9)(36−28)(36−35)}
=√{36×27×8×1}
=88.2 cm^2 (approx.)
⇒ Area of 16 triangular tiles =16×88.2=1411.2 cm^2.
Polishing of 1 cm^2 of area costs 50 p
Polishing of 1411.2 cm^2 of area would cost =50×1411.2=70560p= Rs 705.60
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